Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
518 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 105 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14527465 | C2 | semidirect |
| 5. #14527108 | C2 | semidirect |
| 6. #14526681 | C2 | semidirect |
| 7. C2×C17×#475 | C2 | semidirect |
| 174. C2×#475 | D17 | semidirect |
| 275. C17 | #10189 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539912 | 2 |
| #14538256 | 2 |
| #14527465 | 2 |
| #14527182 | 2 |
| #14527108 | 2 |
| #14526681 | 2 |
| C2×C17×#475 | 2 |
| #10189 | 17 |